Isoperimetric Inequalities in Quantum Geometry
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915895745445888 |
|---|---|
| author | Pai, Praveen Zhang, Fan |
| author_facet | Pai, Praveen Zhang, Fan |
| contents | We reveal strong and weak inequalities relating two fundamental macroscopic quantum geometric quantities, the quantum distance and Berry phase, for closed paths in the Hilbert space of wavefunctions. We recount the role of quantum geometry in various quantum problems and show that our findings place new bounds on important physical quantities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_16604 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isoperimetric Inequalities in Quantum Geometry Pai, Praveen Zhang, Fan Quantum Physics Mesoscale and Nanoscale Physics Strongly Correlated Electrons Mathematical Physics We reveal strong and weak inequalities relating two fundamental macroscopic quantum geometric quantities, the quantum distance and Berry phase, for closed paths in the Hilbert space of wavefunctions. We recount the role of quantum geometry in various quantum problems and show that our findings place new bounds on important physical quantities. |
| title | Isoperimetric Inequalities in Quantum Geometry |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Strongly Correlated Electrons Mathematical Physics |
| url | https://arxiv.org/abs/2503.16604 |